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402424000400 = 24523623277687
BaseRepresentation
bin1011101101100100101…
…01101110111110010000
31102110201121202100102102
411312302111232332100
523043131021003100
6504512050535532
741034304364402
oct5666225567620
91373647670372
10402424000400
11145737947814
1265baab975a8
132bc438ab1c6
14156980acb72
15a704610cd5
hex5db256ef90

402424000400 has 60 divisors (see below), whose sum is σ = 967094000832. Its totient is φ = 160924590720.

The previous prime is 402424000337. The next prime is 402424000409. The reversal of 402424000400 is 4000424204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (402424000409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1310357 + ... + 1588043.

Almost surely, 2402424000400 is an apocalyptic number.

402424000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402424000400 is an abundant number, since it is smaller than the sum of its proper divisors (564670000432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

402424000400 is a wasteful number, since it uses less digits than its factorization.

402424000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281328 (or 281317 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 402424000400 its reverse (4000424204), we get a palindrome (406424424604).

The spelling of 402424000400 in words is "four hundred two billion, four hundred twenty-four million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3623 7246 14492 18115 28984 36230 57968 72460 90575 144920 181150 277687 289840 362300 555374 724600 1110748 1388435 1449200 2221496 2776870 4442992 5553740 6942175 11107480 13884350 22214960 27768700 55537400 111074800 1006060001 2012120002 4024240004 5030300005 8048480008 10060600010 16096960016 20121200020 25151500025 40242400040 50303000050 80484800080 100606000100 201212000200 402424000400